{
  "id": "1610.03821",
  "version": "v1",
  "published": "2016-10-12T18:48:22.000Z",
  "updated": "2016-10-12T18:48:22.000Z",
  "title": "Wilson loop expectations in $SU(N)$ lattice gauge theory",
  "authors": [
    "Jafar Jafarov"
  ],
  "comment": "77 pages, 11 figures",
  "categories": [
    "math.PR",
    "hep-lat",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely convergent sums over trajectories in a string theory on the lattice, establishing a kind of gauge-string duality. Moreover, it is shown that in large $N$ limit, calculations in $SU(N)$ lattice gauge theory with coupling strength $2\\beta$ corresponds to those in $SO(N)$ lattice gauge theory with coupling strength $\\beta$ when $|\\beta|$ is sufficiently small.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-12T18:48:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70S15",
      "81T13",
      "81T25",
      "82B20"
    ],
    "keywords": [
      "lattice gauge theory",
      "wilson loop expectations",
      "coupling strength",
      "absolutely convergent sums",
      "rigorous formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 77,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}